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66056130 = 23257104851
BaseRepresentation
bin1111101111111…
…0111111000010
311121021222222100
43323332333002
5113402244010
610315451230
71431316320
oct373767702
9147258870
1066056130
1134317a48
121a156b16
13108ba68a
148ab6d10
155bec2c0
hex3efefc2

66056130 has 48 divisors (see below), whose sum is σ = 196282944. Its totient is φ = 15098400.

The previous prime is 66056119. The next prime is 66056147. The reversal of 66056130 is 3165066.

It is a junction number, because it is equal to n+sod(n) for n = 66056094 and 66056103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51796 + ... + 53055.

It is an arithmetic number, because the mean of its divisors is an integer number (4089228).

Almost surely, 266056130 is an apocalyptic number.

66056130 is an abundant number, since it is smaller than the sum of its proper divisors (130226814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66056130 is a wasteful number, since it uses less digits than its factorization.

66056130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104871 (or 104868 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 66056130 is about 8127.4922331553. The cubic root of 66056130 is about 404.2385326322.

The spelling of 66056130 in words is "sixty-six million, fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 104851 209702 314553 524255 629106 733957 943659 1048510 1467914 1572765 1887318 2201871 3145530 3669785 4403742 4718295 6605613 7339570 9436590 11009355 13211226 22018710 33028065 66056130